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Square Rug
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Area = Length x Length
Area = 6.3 x 6.3
Area = 39.69 ft²
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Rectangle Rug
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Area = Length x Width
Area = 4.8 x 8.2
Area = 39.36 ft²
39.69 ft² is bigger than 29.36 ft², so the square rug is bigger.
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Ans: The Square Rug covers a greater area
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D. y = 3x + 2
Check (-4, -10)
-10 = 3(-4) + 2
-10 = -12 + 2
-10 = -10 :)
Check (-3, -7)
-7 = 3(-3) + 2
-7 = -9 + 2
-7 = -7 :)
Check (-2, -4)
-4 = 3(-2) + 2
-4 = -6 + 2
-4 = -4 :)
Check (-1, -1)
-1 = 3(-1) + 2
-1 = -3 + 2
-1 = -1 :)
Check (0, 2)
2 = 3(0) + 2
2 = 0 + 2
2 = 2 :)
Answer:
B
Step-by-step explanation:
This was originally a third degree polynomial:
, to be exact.
When you divide by -3, you are basically trying to determine if x + 3 is a zero of that third degree polynomial. The quotient is always one degree lesser than the polynomial you started with, and if there is no remainder, then x + 3 is a zero of the polynomial and you could go on to factor the second degree polynoial completely to get all 3 solutions. To perform the synthetic division, you always first bring down the number in the first position, in our case a 2. Then multiply that 2 by -3 to get -6.
-3| 2 4 -4 6
-6
2 -2
So far this is what we have done. Now we multiply the -3 by the -2 and put that up under the -4 and add:
-3| 2 4 -4 6
-6 6
2 -2 2
Now we multiply the -3 by the 2 to get -6 and put that up under the 6 and add:
-3| 2 4 -4 6
-6 6 -6
2 -2 2 0
That last row gives us the depressed polynomial, which as stated earlier here, is one degree less than what you started with:

Answer:
Probability of obtaining at least one five = 3/12
Step-by-step explanation:
Number cube have six faces.
Then two number cube have 12 faces total but independent 6 two faces
Number of 5 in a number cube is one.
Probability of obtaining a 5 in a number cube = 1/6
Probability of obtaining at least one five in the two number cube mean = probability of obtaining a five or two five
= 1/6 + 1/12
= 3/12